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3001437131 = 72115568529
BaseRepresentation
bin1011001011100110…
…0100101111001011
321202011201210201012
42302321210233023
522121331442011
61213455114135
7134243536400
oct26271445713
97664653635
103001437131
111300262160
126b921294b
1338aa98704
1420689c2a7
15128779a8b
hexb2e64bcb

3001437131 has 12 divisors (see below), whose sum is σ = 3808874520. Its totient is φ = 2338781760.

The previous prime is 3001437113. The next prime is 3001437137. The reversal of 3001437131 is 1317341003.

It is a de Polignac number, because none of the positive numbers 2k-3001437131 is a prime.

It is a super-3 number, since 3×30014371313 (a number of 29 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 3001437097 and 3001437106.

It is not an unprimeable number, because it can be changed into a prime (3001437137) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2783726 + ... + 2784803.

It is an arithmetic number, because the mean of its divisors is an integer number (317406210).

Almost surely, 23001437131 is an apocalyptic number.

3001437131 is a deficient number, since it is larger than the sum of its proper divisors (807437389).

3001437131 is a wasteful number, since it uses less digits than its factorization.

3001437131 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5568554 (or 5568547 counting only the distinct ones).

The product of its (nonzero) digits is 756, while the sum is 23.

The square root of 3001437131 is about 54785.3733308444. The cubic root of 3001437131 is about 1442.4798337167.

Adding to 3001437131 its reverse (1317341003), we get a palindrome (4318778134).

The spelling of 3001437131 in words is "three billion, one million, four hundred thirty-seven thousand, one hundred thirty-one".

Divisors: 1 7 11 49 77 539 5568529 38979703 61253819 272857921 428776733 3001437131